{
  "id": "2012.13845",
  "version": "v1",
  "published": "2020-12-27T01:34:06.000Z",
  "updated": "2020-12-27T01:34:06.000Z",
  "title": "Discrimination of symmetric states in operational probabilistic theory",
  "authors": [
    "Kenji Nakahira"
  ],
  "journal": "Tamagawa University Quantum ICT Research Institute Bulletin 9, 15 (2019)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A state discrimination problem in an operational probabilistic theory (OPT) is investigated in diagrammatic terms. It is well-known that, in the case of quantum theory, if a state set has a certain symmetry, then there exists a minimum-error measurement having the same type of symmetry. However, to our knowledge, it is not yet clear whether this property also holds in a more general OPT. We show that it also holds in OPTs, i.e., for a symmetric state set, there exists a minimum-error measurement that has the same type of symmetry. It is also shown that this result can be utilized to optimize over a restricted class of measurements, such as sequential or separable measurements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-27T01:34:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operational probabilistic theory",
      "minimum-error measurement",
      "symmetric state set",
      "state discrimination problem",
      "quantum theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}